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Finding the Fourth Proportional to 211,221.59, 291,474.65 and 120,573.95

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Solution

The fourth proportional to 211,221.59, 291,474.65 and 120,573.95 is: 166,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,221.59 : 291,474.65 = 120,573.95 : x
  2. Step 2: Convert to fraction form
    211,221.59/291,474.65 = 120,573.95/x
  3. Step 3: Cross multiply
    211,221.59x = 291,474.65 × 120,573.95
  4. Step 4: Simplify right side
    211,221.59x = 35,144,247,815.12
  5. Step 5: Solve for x
    x = 35,144,247,815.12/211,221.59
  6. Step 6: Final answer
    x = 166,385.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.